876992572800 has 960 divisors, whose sum is σ = 3545343172800. Its totient is φ = 212487045120.

The previous prime is 876992572787. The next prime is 876992572847. The reversal of 876992572800 is 8275299678.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 127782169 + ... + 127789031.

It is an arithmetic number, because the mean of its divisors is an integer number (3693065805).

Almost surely, 2^876992572800 is an apocalyptic number.

876992572800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876992572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772671586400).

876992572800 is an abundant number, since it is smaller than the sum of its proper divisors (2668350600000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

876992572800 is a wasteful number, since it uses less digits than its factorization.

876992572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6945 (or 6919 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 876992572800 in words is "eight hundred seventy-six billion, nine hundred ninety-two million, five hundred seventy-two thousand, eight hundred".